In view of interpreting images obtained by scanning tunnelling microscopes
with perturbation methods the electronic properties of the STM tip are of u
tmost importance. We have calculated with a first-principles method the spi
n-resolved electronic structure of a tungsten (100) surface with different
apex atoms. The results presented show that the electronic states in the va
cuum region are in each case considered a mixture of states with s-, p- and
d-type symmetries. The relevance of this result for STM imaging and a calc
ulation of the tunnelling current by numerical methods is discussed briefly
.